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arXiv · 1605.06254

A lower bound for the isoperimetric deficit

Julià Cufí·Agustí Reventós
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Abstract

In this paper we provide a Bonnesen-style inequality which gives a lower bound for the isoperimetric deficit corresponding to a closed convex curve in terms of some geometrical invariants of this curve. Moreover we give a geometrical interpretation for the case when equality holds.

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Julià Cufí, Agustí Reventós. 2016-05-20. A lower bound for the isoperimetric deficit. https://doi.org/10.4171/em/312

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